Abstract

We consider methods to construct mathematical models for the automation of circuit design that implement the calculations of the parameters and the structure of the circuit connections of the components of the developed electronic device displayed by its graphic scheme. We note that the modeling of frequency properties of an electronic circuits in a frequency range is among the main problems of circuit design. Within this range, the frequency characteristics of the circuit are computed multiply to find the admissible or optimum values of the parameters of the components used in the designed electronic circuit. It is shown that two approaches to resolve such a problem are possible. The first approach is based on the description of the simulated circuit by complex matrices at each frequency f [kf] of the given frequency range with the preliminary calculation of the operator s = (0.0, 2 × 3.14 f [kf]). A substantial disadvantage of this approach is the necessity to form a mathematical description of all the circuit components at each frequency. The second approach is based on the representation of the complex matrix of the scheme in the bilinear form W = A + sB, where A and B are real frequency-independent matrices. It is shown that, in a number of cases, we have to present the equations of frequency-dependent components in an explicit form to implement such an approach, while this is possible only if the scheme is described in selected coordinate bases such that this possibility is foreseen for them. A technique is proposed to describe the simulated circuits based on a modified basis of the nodal potentials, providing the possibility to use both explicit and implicit forms to specify the component equations. It is shown that the bilinear form of the circuit description, based on the modified basis, substantially improves the efficiency of computing the frequency characteristics because the fixed frequency-independent matrix components of the circuit are used at each frequency.

中文翻译：

---

频域中电子电路系统建模的效率提高

摘要

我们考虑构建用于电路设计自动化的数学模型的方法，该方法可实现通过图形方案显示的已开发电子设备的组件的参数计算和电路连接结构的计算。我们注意到，在频率范围内对电子电路的频率特性进行建模是电路设计的主要问题之一。在此范围内，对电路的频率特性进行乘法计算，以找到设计的电子电路中使用的组件参数的允许值或最佳值。结果表明，有两种方法可以解决这一问题。第一种方法是基于每个频率f [ kf给定频率范围内的），并通过算符s的初步计算得出s =（0.0，2×3.14  f [ kf ]）。这种方法的主要缺点是必须形成每个频率下所有电路组件的数学描述。第二种方法基于双线性形式W = A + sB的方案的复数矩阵表示，其中A和B是与频率无关的实数矩阵。结果表明，在许多情况下，我们必须以一种明确的形式给出频率相关分量的方程式，以实现这种方法，而只有在选择的坐标系中描述了该方案时，才有可能这样做。是为他们预见的。提出了一种基于节点电势的修改基础来描述仿真电路的技术，从而提供了使用显式和隐式形式来指定组件方程的可能性。示出了，基于修改的基础，电路描述的双线性形式极大地提高了计算频率特性的效率，因为电路的固定于频率的与矩阵无关的矩阵分量被用于每个频率。